Primality proof for n = 132667:
Take b = 2.
b^(n-1) mod n = 1.
22111 is prime. b^((n-1)/22111)-1 mod n = 63, which is a unit, inverse 48434.
(22111) divides n-1.
(22111)^2 > n.
n is prime by Pocklington's theorem.